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Finding the Third Proportional to 167,006.81 and 251,937.84

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Solution

The third proportional to 167,006.81 and 251,937.84 is: 380,060.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,006.81 : 251,937.84 = 251,937.84 : x
  2. Step 2: Convert to fraction form
    167,006.81/251,937.84 = 251,937.84/x
  3. Step 3: Cross multiply
    167,006.81x = 251,937.84 × 251,937.84
  4. Step 4: Simplify right side
    167,006.81x = 63,472,677,113.40
  5. Step 5: Solve for x
    x = 63,472,677,113.40/167,006.81
  6. Step 6: Final answer
    x = 380,060.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.